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In the paper a sufficient condition for all solutions of the differential equation with $p$ -Laplacian to be proper. Examples of super-half-linear and sub-half-linear equations $(| y^{'} |^{p - 1} y^{'})^{'} + r (t) {| y |}^{λ} sgn y = 0$ , $r > 0$ are given for which singular solutions exist (for any $p > 0$ , $λ > 0$ , $p \neq λ$ ).

Solutions approaching polynomials at infinity to nonlinear ordinary differential equations.

Philos, Christos G., Tsamatos, Panagiotis Ch. (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Some classes of linear $n$ th-order differential equations

Valter Šeda (1997)

Archivum Mathematicum

Sufficient conditions for the $n$ -th order linear differential equation are derived which guarantee that its Cauchy function $K$ , together with its derivatives $\frac{\partial^{i} K}{\partial t^{i}}$ , $i = 1, \dots, n - 1$ , is of constant sign. These conditions determine four classes of the linear differential equations. Further properties of these classes are investigated.

Some new results in 1D inverse scattering

John Sylvester (1995)

Journées équations aux dérivées partielles

Some oscillatory properties of the perturbed linear differential equations of order $n$

Jozef Moravčík (1995)

Archivum Mathematicum

In this paper there are generalized some results on oscillatory properties of the binomial linear differential equations of order $n (\geq 3$ ) for perturbed iterative linear differential equations of the same order.

Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations

M. E. Lord (1982)

Rendiconti del Seminario Matematico della Università di Padova

Stability and asymptotic stability in impulsive semidynamical systems.

Kaul, Saroop K. (1994)

Journal of Applied Mathematics and Stochastic Analysis

Stability and attractivity of solutions of differential equations with impulses at fixed times.

Sivasundaram, S., Vassilyev, S. (2000)

Journal of Applied Mathematics and Stochastic Analysis

Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay.

Ding, Xiaohua, Li, Wenxue (2006)

Discrete Dynamics in Nature and Society

Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations

Mathew Omonigho Omeike (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.

Stability and boundedness of solutions of nonlinear vector differential equations of third order

Mathew Omonigho Omeike (2014)

Archivum Mathematicum

The paper studies the equation $\overset{⃛}{X} + Ψ (\dot{X}) \ddot{X} + Φ (X) \dot{X} + c X = P (t)$ in two cases: (i) $P (t) \equiv 0$ , (ii) $P (t) \neq 0$ . In case (i), the global asymptotic stability of the solution $X = 0$ is studied; in case (ii), the boundedness of all solutions is proved.

Stability and correctness of abstract differential equations in Hilbert spaces

Jaroslav Barták (1978)

Czechoslovak Mathematical Journal

Stability and Non-Linear Approximation for y' (t) = - f(y(t-1)).

Klaus Doden (1980)

Manuscripta mathematica

Stability and optimal harvesting of a prey-predator model with stage structure for predator

Tapan Kumar Kar (2005)

Applicationes Mathematicae

The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.

Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order

A. T. Ademola, P. O. Arawomo (2011)

Kragujevac Journal of Mathematics

Stability implications on the asymptotic behavior of nonlinear systems.

Chiou, Kuo-Liang (1982)

International Journal of Mathematics and Mathematical Sciences

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